1481828407641 has 12 divisors (see below), whose sum is σ = 2140630175268. Its totient is φ = 987788052384.

The previous prime is 1481828407601. The next prime is 1481828407663. The reversal of 1481828407641 is 1467048281841.

1481828407641 is a `hidden beast` number, since 1 + 481 + 82 + 8 + 40 + 7 + 6 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1343292590025 + 138535817616 = 1159005^2 + 372204^2 .

It is not a de Polignac number, because 1481828407641 - 2¹¹ = 1481828405593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1481828407601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8033130 + ... + 8215523.

It is an arithmetic number, because the mean of its divisors is an integer number (178385847939).

Almost surely, 2^{1481828407641} is an apocalyptic number.

It is an amenable number.

1481828407641 is a deficient number, since it is larger than the sum of its proper divisors (658801767627).

1481828407641 is a wasteful number, since it uses less digits than its factorization.

1481828407641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16258792 (or 16258789 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 1481828407641 in words is "one trillion, four hundred eighty-one billion, eight hundred twenty-eight million, four hundred seven thousand, six hundred forty-one".